What is expand (3x+1)*3e^{3x} ?

The solution to expand (3x+1)*3e^{3x} is 9e^{3x}x+3e^{3x}

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expand (3x+1)*3e^{3x}

expand

(3 x + 1) \cdot 3 e^{3 x}

9 e^{3 x} x + 3 e^{3 x}

Solution steps

(3 x + 1) \cdot 3 e^{3 x}

= 3 e^{3 x} (3 x + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 3 e^{3 x}, b = 3 x, c = 1

= 3 e^{3 x} \cdot 3 x + 3 e^{3 x} \cdot 1

= 3 \cdot 3 e^{3 x} x + 3 \cdot 1 \cdot e^{3 x}

Simplify

3 \cdot 3 e^{3 x} x + 3 \cdot 1 \cdot e^{3 x} : 9 e^{3 x} x + 3 e^{3 x}

= 9 e^{3 x} x + 3 e^{3 x}

8 (t + 1) y^{'} (t) - 6 y - 12 t

d x (3 x^{y} ln (x) + e^{y} y ln (x))

- lo g_{b} (w)

(3 x + 2 y = 7, 8) (3 x + 2 y = 92)

[\frac{4 s}{( x ^{2} + 4 ) ( 6 s + 3 )}]

What is expand (3x+1)*3e^{3x} ?
The solution to expand (3x+1)*3e^{3x} is 9e^{3x}x+3e^{3x}